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22202004220129 is a prime number
BaseRepresentation
bin1010000110001010011101…
…00100110010100011100001
32220121111020211212222021101
411003011032210302203201
510402224201040021004
6115115243202354401
74451020235043226
oct503051644624341
986544224788241
1022202004220129
11708a8a9639298
1225a6a9235ba01
13c5084215b436
1456a82306594d
152877d2230ba4
hex14314e9328e1

22202004220129 has 2 divisors, whose sum is σ = 22202004220130. Its totient is φ = 22202004220128.

The previous prime is 22202004220087. The next prime is 22202004220139. The reversal of 22202004220129 is 92102240020222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21081624309729 + 1120379910400 = 4591473^2 + 1058480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22202004220129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22202004220097 and 22202004220106.

It is not a weakly prime, because it can be changed into another prime (22202004220139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11101002110064 + 11101002110065.

It is an arithmetic number, because the mean of its divisors is an integer number (11101002110065).

Almost surely, 222202004220129 is an apocalyptic number.

It is an amenable number.

22202004220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22202004220129 is an equidigital number, since it uses as much as digits as its factorization.

22202004220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 22202004220129 in words is "twenty-two trillion, two hundred two billion, four million, two hundred twenty thousand, one hundred twenty-nine".